Abstract
The article sets forth a three-dimensional linearized theory of a supercavitating pump or hydroturbine with finite dimensions of the blades and cavities, in a tube of round cross section. A fundamental solution is constructed (the potential of a source in a tube), and numerical methods are indicated for solution of the direct and inverse problems, required for the detailed design and calculation of axial hydromachines, under conditions of developed cavitation. Some results of the calculations are given.
Similar content being viewed by others
Literature cited
B. V. Ovsyannikov and B. I. Borovskii, The Theory and Design of the Feed Assemblies of Liquid Rocket Engines [in Russian], Izd. Mashinostroenie, Moscow (1971).
V. M. Ivchenko, “The theory of a blade under supercavitation conditions,” Prikl. Mekh.,1, No. 12, Kiev (1965).
Problems and Methods in the Hydrodynamics of underwater Vanes and Propellers [in Russian], Izd. Naukova Dumka, Kiev (1966).
G. V. Logvinovich, The Hydrodynamics of Flows with Free Boundaries [in Russian], Izd Naukova Dumka, Kiev (1969).
V. M. Ivchenko, “Jet features in three-dimensional hydrodynamics,” Dopovidi Akad Nauk URSR, No. 5 (1966).
N. I. Muskhelishvili, Singular Integral Equations [in Russian], Izd. Fizmatgiz, Moscow (1962).
A. N. Panchenkov and A. V. Diogenov, “The structure of singular solutions in the theory of the potential of the accelerations,” in: Asymptotic Methods in the Theory of Systems [in Russian], No. 5, Irkutsk (1973).
S. M. Belotserkovskii, A Thin Bearing Surface in a Subsonic Flow of Gas [in Russian], Izd. Nauka, Moscow (1965).
M. I. Gurevich, “The theory of flows with free surfaces,” in: Hydromechanics [in Russian], Vol. 5, Izd. VINITI, Moscow (1971).
Author information
Authors and Affiliations
Additional information
Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 1, pp. 153–158, January–February, 1976.
Rights and permissions
About this article
Cite this article
Ivchenko, V.M. Hydrodynamic theory of supercavitating pumps or hydroturbines. Fluid Dyn 11, 137–142 (1976). https://doi.org/10.1007/BF01023410
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01023410